1659623328 has 144 divisors (see below), whose sum is σ = 5372692416. Its totient is φ = 481029120.

The previous prime is 1659623309. The next prime is 1659623341. The reversal of 1659623328 is 8233269561.

1659623328 is a `hidden beast` number, since 1 + 6 + 596 + 2 + 33 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61476 + ... + 84252.

It is an arithmetic number, because the mean of its divisors is an integer number (37310364).

Almost surely, 2^1659623328 is an apocalyptic number.

1659623328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1659623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686346208).

1659623328 is an abundant number, since it is smaller than the sum of its proper divisors (3713069088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1659623328 is a wasteful number, since it uses less digits than its factorization.

1659623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22827 (or 22816 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1659623328 is about 40738.4747873555. The cubic root of 1659623328 is about 1183.9585829802.

The spelling of 1659623328 in words is "one billion, six hundred fifty-nine million, six hundred twenty-three thousand, three hundred twenty-eight".